Average Error: 15.1 → 0.3
Time: 9.2s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double r, double a, double b) {
	return ((double) (r * ((double) (((double) sin(b)) / ((double) cos(((double) (a + b))))))));
}

↓
double code(double r, double a, double b) {
	return ((double) (((double) sin(b)) * ((double) (r / ((double) (((double) (((double) cos(a)) * ((double) cos(b)))) - ((double) (((double) sin(b)) * ((double) sin(a))))))))));
}

Error
Bits error versus r
Bits error versus a
Bits error versus b
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 15.1
    \[\]
  2. Using strategy rm
  3. Applied cos-sum0.3
    \[\leadsto \]
  4. Using strategy rm
  5. Applied associate-*r/0.3
    \[\leadsto \]
  6. Simplified0.3
    \[\leadsto \]
  7. Using strategy rm
  8. Applied *-un-lft-identity0.3
    \[\leadsto \]
  9. Applied times-frac0.3
    \[\leadsto \]
  10. Simplified0.3
    \[\leadsto \]
  11. Simplified0.3
    \[\leadsto \]
  12. Final simplification0.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (r a b)
  :name "rsin B"
  :precision binary64
  (* r (/ (sin b) (cos (+ a b)))))